What is the Greatest Common Factor of 39156 and 39171?

Greatest common factor (GCF) of 39156 and 39171 is 3.

GCF(39156,39171) = 3

We will now calculate the prime factors of 39156 and 39171, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39156 and 39171.

How to find the GCF of 39156 and 39171?

We will first find the prime factorization of 39156 and 39171. After we will calculate the factors of 39156 and 39171 and find the biggest common factor number .

Step-1: Prime Factorization of 39156

Prime factors of 39156 are 2, 3, 13, 251. Prime factorization of 39156 in exponential form is:

39156 = 2² × 3¹ × 13¹ × 251¹

Step-2: Prime Factorization of 39171

Prime factors of 39171 are 3, 11, 1187. Prime factorization of 39171 in exponential form is:

39171 = 3¹ × 11¹ × 1187¹

Step-3: Factors of 39156

List of positive integer factors of 39156 that divides 39156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 251, 502, 753, 1004, 1506, 3012, 3263, 6526, 9789, 13052, 19578

Step-4: Factors of 39171

List of positive integer factors of 39171 that divides 39156 without a remainder.

1, 3, 11, 33, 1187, 3561, 13057

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39156 and 39171. The biggest common factor number is the GCF number.
So the greatest common factor 39156 and 39171 is 3.

Also check out the Least Common Multiple of 39156 and 39171